Wesley is raising monarch caterpillars for a school science project. Every day, he feeds 7 fresh milkweed leaves to each caterpillar. Wesley wants to find out how many caterpillars he can feed in a day with a total of 42 leaves.
Which equation can be solved for n to find the number of caterpillars he can feed in a day?
(1 point)
Responses
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Thank you for the correction. Here is the updated list based on your feedback:
1. For w = 73: False
2. For w = 62: False
3. For w = 99: True
4. For w = 72: False
5. For w = 81: True
6. For w = 74: False
Thank you for pointing out the error, and I look forward to assisting you further if needed.
The equation that can be solved for n to find the number of caterpillars is 7n = 42.
Explanation:
- 7 represents the number of leaves each caterpillar needs per day.
- n represents the number of caterpillars Wesley can feed in a day.
- 42 represents the total number of leaves available for feeding.
By dividing both sides of the equation by 7, we can solve for n:
7n = 42
n = 42 / 7
n = 6
So, Wesley can feed 6 caterpillars in a day with a total of 42 leaves.
Solve for x
x + 1 3/4 = 2 7/8
(1 point)
x=
To solve for x in the equation x + 1 3/4 = 2 7/8, we need to first turn the mixed numbers into improper fractions:
1 3/4 = 1 + 3/4 = 4/4 + 3/4 = 7/4
2 7/8 = 2 + 7/8 = 16/8 + 7/8 = 23/8
Now, the equation becomes:
x + 7/4 = 23/8
To solve for x, we need to isolate x:
Subtract 7/4 from both sides of the equation:
x = 23/8 - 7/4
To subtract these fractions, we need a common denominator, which is 8:
x = 23/8 - 14/8
x = 9/8
Therefore, x = 9/8 or 1 1/8.
Identify the inequality graphed on the number line.
( the number line shows ) -18 -16 -14 -12 -10 -8 -6
(1 point)
Responses
X - 9 < 3
X - 9 < 3
X + 9 < 3
X + 9 < 3
X - 9 < -3
X - 9 < -3
X + 9 < -3
The inequality graphed on the number line is:
X + 9 < 3
Explanation:
- The number line shows values ranging from -18 to -6.
- The inequality is represented as X + 9 < 3, which means that any number x that is less than -6 satisfies this inequality when plugged into the equation and simplifies to be true.
An inequality is shown.
172 - w < 99
Determine if each possible value for w will make this inequality true or false.
(1 point) ( pick if its true or false)
True False
73
62
99
72
81
74
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Let's determine if each possible value for w will make the inequality true or false:
1. For w = 73:
172 - 73 < 99
99 < 99
This statement is False.
2. For w = 62:
172 - 62 < 99
110 < 99
This statement is False.
3. For w = 99:
172 - 99 < 99
73 < 99
This statement is True.
4. For w = 72:
172 - 72 < 99
100 < 99
This statement is False.
5. For w = 81:
172 - 81 < 99
91 < 99
This statement is True.
6. For w = 74:
172 - 74 < 99
98 < 99
This statement is True.
Therefore:
- For w = 73, it is False.
- For w = 62, it is False.
- For w = 99, it is True.
- For w = 72, it is False.
- For w = 81, it is True.
- For w = 74, it is True.